2553280900 has 81 divisors (see below), whose sum is σ = 5760453573. Its totient is φ = 982303200.

The previous prime is 2553280897. The next prime is 2553280907. The reversal of 2553280900 is 90823552.

The square root of 2553280900 is 50530.

It is a perfect power (a square), and thus also a powerful number.

2553280900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 919181124 + 1634099776 = 30318^2 + 40424^2 .

It is not an unprimeable number, because it can be changed into a prime (2553280907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15664219 + ... + 15664381.

Almost surely, 2^2553280900 is an apocalyptic number.

2553280900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2553280900 is the 50530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553280900

2553280900 is an abundant number, since it is smaller than the sum of its proper divisors (3207172673).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2553280900 is a wasteful number, since it uses less digits than its factorization.

2553280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The cubic root of 2553280900 is about 1366.7828858797.

The spelling of 2553280900 in words is "two billion, five hundred fifty-three million, two hundred eighty thousand, nine hundred".